This is my question?
(-8.811)(16.29)
I hope you can solve this!!

If PV = 800, then P can be written as a function of V,

P(V) = 800 / V

(a) The average rate of change of P as V increases from 200 to 250 in³ is then

(P (250) - P (200)) / (250 in³ - 200 in³) = (3.2 lb/in² - 4lb/in²) / (50 in³)

... = -0.016 (lb/in²)/in³

(Or -0.016 lb/in⁵, but I figure writing the rate as (units of pressure) per (unit volume) makes more sense.)

(b) We can also write V as a function of P :

V(P) = 800 / P

Take the derivative:

V'(P) = - 800 / P²

which immediately demonstrates that V'(P) ∝ 1 / P², as required. (The fish-looking symbol, ∝, means "is proportional to".)

If differentiating is supposed to be more involved, you can use the limit definition:

[tex]V'(P)=\displaystyle\lim_{h\to0}\frac{V(P+h)-V(P)}h[/tex]

[tex]V'(P)=\displaystyle\lim_{h\to0}\frac{\frac{800}{P+h}-\frac{800}P}h[/tex]

[tex]V'(P)=\displaystyle\lim_{h\to0}\frac{\frac{800P-800(P+h)}{P(P+h)}}h[/tex]

[tex]V'(P)=\displaystyle800\lim_{h\to0}\frac{-\frac h{P(P+h)}}h[/tex]

[tex]V'(P)=\displaystyle-800\lim_{h\to0}\frac1{P(P+h)}=-\dfrac{800}{P^2}[/tex]

Part(a): The average rate of change of [tex]\frac{dP}{dV}[/tex] is [tex]-0.0164 lb/in^{2}[/tex]

Part(b): The required answer is [tex]\frac{dV}{dP} \infty \frac{1}{P^{2}}[/tex]

Part(a):

Given,

[tex]PV=800[/tex]

Differentiating the above equation with respect to [tex]V[/tex].

[tex]\frac{dP}{dV}=-\frac{P}{V}[/tex]

Now, at [tex]V=200 in^{3}[/tex] and [tex]P=4 lb/in^2[/tex]

At [tex]V=250 in^3[/tex] and [tex]P=\frac{80}{25} lb/in^2[/tex]

Hence, we can write,

[tex]\frac{dP}{dV}[/tex] at [tex]V=200[/tex] we get,

[tex]\frac{-1}{200}=\frac{-1}{50}[/tex]

Again [tex]\frac{dP}{dV}[/tex] at [tex]V=250[/tex] we get,

[tex]\frac{-80}{25\times 250}[/tex]

So, the average rate of change of [tex]\frac{dP}{dV}[/tex] is,

[tex]\frac{-\frac{1}{50}- \frac{8}{25\times25} }2\\=-\frac{1}{100}-\frac{1}{625}\\=-0.0164 lb/in^2[/tex]

Part(b):

Given,[tex]PV=800[/tex] then,

[tex]V=\frac{800}{P}[/tex]

Now,[tex]\frac{dV}{dP} =-\frac{800}{P^2}[/tex]

Then the above implies,

[tex]\frac{dV}{dP} \infty \frac{1}{P^{2}}[/tex]

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Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

a fraction is basically saying the numbers are being divided so if you do -20 divided by 2 then you would get negative 10 since a negative divided by a positive would be a negative.

Answer:

To solve fractions, you MUST HAVE THE SAME DENOMINATORS WHEN DEALING WITH ADDITION AND SUBTRACTION.

Step-by-step explanation:

For example, 2/3 + 3/6

The denominators in this case have a common denominator which is 6.

All you have to do is multiply the 2/3 by 2 in the numerator and the denominator. Once you do, you'll get 4/6 which you could then add to 3/6 to get 7/6 which would equal 1 1/6 or 7/6 either is fine.

Hope this helps! :)

Answer:

To solve fractions, you MUST HAVE THE SAME DENOMINATORS WHEN DEALING WITH ADDITION AND SUBTRACTION.

Step-by-step explanation:

Answer:

2,320,000

Step-by-step explanation:

10,000,000

                   -

7,680,000

__________

2,320,000

Answer:

2,320,000

Step-by-step explanation:

You have to subtract the 10,000,000 by the amount that has already been sold in order to find out the difference on how many copies are left in order to receive an award.  

10,000,000 - 7,680,000 = 2,320,000

Answer:

D. 1.061 + 4.899

Step-by-step explanation:

1061 + 4899     149              149

———————————  =  ———

   1000         25                     25

149          

——— = 5.96000

 25            

If this helps please mark brainliest. Have a great day!

Answer:

can u  please attach the photo

Step-by-step explanation:

i cannot see it clearly

9514 1404 393

Answer:

  (a) 6 °C

  (b) -3.7 °C

  (c) the y-intercept is (0, 10); the x-intercept is (10, 0)

Step-by-step explanation:

(a) The graph tells you the wind chill is 6 °C when the wind speed is 4 m/s.

__

(b) The annotated point on the graph tells you the wind chill is -3.7 °C when the wind speed is 20 m/s.

__

(c) The intercepts are marked on the graph. The y-intercept is (0, 10); the x-intercept is (10, 0). These represent the temperature when the wind speed is 0, and the wind speed when the temperature is 0, respectively.

Answer:

48

Step-by-step explanation:

plug in -4 for W

if you mean times 2 not plus after -7w

-7(-4) (2) + 2(-4) =

28(2) - 8 =

56-8=

48

Answer:

first u find a common denominator for all of them and then add them all together

Step-by-step explanation:

I really do hope this helps!!!

Answer:

35.61

Step-by-step explanation:

Add 10 +2+16+5= 33

Then add 5/8+7/8= 1.5

Then add 8/9+2/9= 1.1

Then add 33+1.5+1.1= 35.61

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Answer:

  see below

Step-by-step explanation:

The Desmos graphing utility is available as an app for phone or tablet from the app stores for Android and Apple devices. It is available from the desmos web site by clicking on "Graphing Calculator" on the home page.

Attached is a screen-shot of the web version. Help can be found under the (?) button at upper right. I found the help to be useful when first starting or when trying to do something I haven't done before.

You can create an account, if you like, but that is not necessary to obtain all of the basic functionality.

A link for sharing a graph will be generated by clicking on the icon to its left. Graphs can also be saved for later reference, if you have an account. The link to a graph will work whether you have an account or not.

__

There are other desmos tools available, too, for general calculation, geometrical construction, and matrix manipulation. (I have not yet used those.)

_____

Desmos likes to use x and y for the independent and dependent variables, respectively. You can define something like h(t) = 5t+1 and it will graph it as though it were y=5x+1. When you click on an equation or graph, points of intersection with other graphs or with the axes will be highlighted. Clicking on those highlights will give their coordinates.

Equations don't need to be of the "y=" form. For example, you can use x^2+y^2=1 to make a unit circle. The usual math symbols work for keyboard input (* for multiplication; / for division; ^ for exponents). The tab or arrow keys move out of denominator or exponent fields. To make more complicated exponents, parentheses help.

There's so much more it can do. It is worthwhile to visit the on-line tutorial information.

Answer:

0.8

Step-by-step explanation:

From the given information:

The population mean = 60

The standard deviation = 8

The sample size = 100

The sample distribution which follows a normal distribution is the set of values ​​taken by this statistic on each sample from the same population.

The standard deviation of the comparison distribution's = [tex]\dfrac{\sigma}{\sqrt{n}}[/tex]

The standard deviation of the comparison distribution's = [tex]\dfrac{8}{\sqrt{100}}[/tex]

The standard deviation of the comparison distribution's = 8/10

The standard deviation of the comparison distribution's = 0.8

Answer:

answer is B all the best for your exam

Step-by-step explanation:

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Answer:

2 days

Step-by-step explanation:

Answer:

A B and D

Step-by-step explanation:

Answer:

Direct variation; k=5/2

Step-by-step explanation:

Edge quiz, got it right

Answer:

About $0.35 per bottle.

Step-by-step explanation:

8.44 / 24 = .3516

Answer:

roughly 35 cents

Step-by-step explanation:

8.44/ 24= .3516

.3516x24= 8.44

Hope this helps. Plz give brainliest.

Answer:

-3

Step-by-step explanation:

so you you divide 2 into 6 and you know that 6 is already negative so you just put the negative sign by the three hope this answer ya question.

Answer

3

Step-by-step explanation:

(4-1)^2+(8-8)^2=9

square root of 9 is 3

The slope is the number with the letter x

The slope would be -10

The y intercept is the number at the end of the equation.

The y intercept is 1

Answer:

poope

Step-by-step explanation:

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Answer:

Step-by-step explanation:

The student is correct because the number has decimal expansion that repeats.

Answer:

x=6;y=9

Step-by-step explanation:

First you try to find y in the second equation --> y/12=3/4

You divide 12 by 4 to see how many times y/12's denominator and numerator is bigger. 12/4 is 3, so to find y you multiply 3*3. so 9/12=3/4. To check this, you multiply 3 on each side of the fraction -->

3*3=9  4*3=12.

Then, you can just put y into the first equation, which is x/y=2/3. Pluck that in, and you get x/9=2/3. Do the same thing you did in the first step, and you should get 6/9=2/3. Hope this helped :)

Answer:

x=6; y=9

Step-by-step explanation:

Answer:

Step-by-step explanation:

              Given                   Parallel lines                 Converse

a). ∠13 ≅ ∠17                           a║c                  Corresponding angles

b). ∠4 ≅ ∠9                             b║e                  Exterior alternate angles

c). m∠19 + m∠22 = 180°         a║b                  Same side exterior angles

d). ∠8 ≅ ∠19                                                     Vertical angles.

e). ∠10 ≅ ∠23                         b║c                   Alternate angles

f). m∠14 + m∠17 = 180°           a║c                   Same side Interior angles

Answer:

4x6=24

Since 24 is 4 times as many as six, it means 4x6 is 24.

Answer:

C

Step-by-step explanation:

It would be c i took the test:)

The required equation model would be y - 33 = -7(x -4) which is the correct answer would be option (C).

A line's slope is defined as its inclination. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider Points 1 and 2 on a line. Point 1's coordinates are (x₁ , y₁), and Point 2's coordinates are (x₂, y₂).

Given that the continuously rising building is an elevator. It is 33 meters above the ground after 4 seconds, and 47 meters above the earth after 2 seconds.

Let the required equation model would be as:

y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x₂ -x]

x₁ = 4, y₁ = 33

x₂ = 2, y₂ = 47

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x₂ -x]

Substitute values in the equation, we get

⇒ y - 33 = (47-33)/(2-4 )[x -4]

⇒ y - 33 = 14/(-2 )[x -4]

⇒ y - 33 = -7(x -4)

Therefore, the equation model is y - 33 = -7(x -4).

Learn more about Slope of the Line here:

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Answer:

-8748

Step-by-step explanation:

(6^2)(-3^5)

(6 x 6)(-3 x-3 x-3 x -3 x -3)

(36)(-243)

36 x -243

-8748

Answer:

D is answer

Step-by-step explanation:

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